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If all cats are animals and some animals are not pets, which of the following st

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Question: If all cats are animals and some animals are not pets, which of the following statements is true?

Options:

  1. All cats are pets
  2. Some cats are not pets
  3. No cats are animals
  4. Some pets are not animals

Correct Answer: Some cats are not pets

Solution:

Since some animals are not pets, it follows that some cats, being animals, may also not be pets.

If all cats are animals and some animals are not pets, which of the following st

Practice Questions

Q1
If all cats are animals and some animals are not pets, which of the following statements is true?
  1. All cats are pets
  2. Some cats are not pets
  3. No cats are animals
  4. Some pets are not animals

Questions & Step-by-Step Solutions

If all cats are animals and some animals are not pets, which of the following statements is true?
  • Step 1: Understand that all cats belong to the category of animals.
  • Step 2: Recognize that some animals do not fall into the category of pets.
  • Step 3: Since all cats are animals, we need to consider if some of these cats could also be in the group of animals that are not pets.
  • Step 4: Conclude that it is possible for some cats to not be pets because they are part of the larger group of animals, some of which are not pets.
  • Logical Deduction – The ability to infer conclusions from given premises.
  • Categorical Logic – Understanding relationships between categories (e.g., all, some) in logical statements.
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